Consider two different machines A and B, either of which could be used at a station.Machine A has an average effective process time of 1.0 hour and a squared coefficient ofvariation of 0.25. Machine B has an average effective process time of 0.85 hours and asquared coefficient of variation of 4.0.a) For an average arrival rate of 0.92 jobs per hour with a squared coefficient of variationequal to 1.0, which machine will have a shorter average cycle time? Before calculating,guess which machine will have the shorter time. After calculating, give a short reasonwhy you think you were right, or explaining why you think you were wrong.Guess (circle one): A BMachine A: CT = ________________Machine B: CT = ________________Explanation: __________________________________________________________________________________________________________________________________________b) Suppose there are two A or two B machines and the arrival rate is doubled. Whathappens to cycle time?Machine A: CT = ________________Machine B: CT = ________________How did things change and why do you think this happened? Explanation: ________________________________________________________________ __________________________________________________________________________

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
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Consider two different machines A and B, either of which could be used at a station.
Machine A has an average effective process time of 1.0 hour and a squared coefficient of
variation of 0.25. Machine B has an average effective process time of 0.85 hours and a
squared coefficient of variation of 4.0.
a) For an average arrival rate of 0.92 jobs per hour with a squared coefficient of variation
equal to 1.0, which machine will have a shorter average cycle time? Before calculating,
guess which machine will have the shorter time. After calculating, give a short reason
why you think you were right, or explaining why you think you were wrong.
Guess (circle one): A B
Machine A: CT = ________________
Machine B: CT = ________________
Explanation: ________________________________________________________________
__________________________________________________________________________
b) Suppose there are two A or two B machines and the arrival rate is doubled. What
happens to cycle time?
Machine A: CT = ________________
Machine B: CT = ________________
How did things change and why do you think this happened?
Explanation: ________________________________________________________________
__________________________________________________________________________
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